South Africa Matric · Mathematics

Probability, counting and statistics

16 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 16 questions

How many different arrangements of all the letters of the word MISSISSIPPI are possible?
For events A and B: $P (A) = 0.6$ , $P (B) = 0.3$ and $P (A and B) = 0.1$ . Calculate $P (A or B)$ .
A and B are independent events with $P (A) = 0.8$ and $P (B) = 0.5$ . Calculate $P (A and B)$ .
In how many ways can a chairperson and a secretary be chosen from 6 club members if no member holds two posts?
For events A and B: $P (A) = 0.55$ , $P (B) = 0.45$ and $P (A and B) = 0.25$ . Calculate $P (A or B)$ .
In how many ways can a chairperson, a secretary and a treasurer be chosen from 7 club members if no member holds two posts?
In how many ways can a chairperson, a secretary and a treasurer be chosen from 6 club members if no member holds two posts?
A and B are independent events with $P (A) = 0.25$ and $P (B) = 0.4$ . Calculate $P (A and B)$ .
Calculate the interquartile range of the ordered data: 3, 7, 12, 14, 17, 24, 26, 29.
Calculate the mean of the data set: 14, 10, 11, 12, 13.
Calculate the median of: 24, 37, 8, 11, 21, 4.
Calculate the interquartile range of the ordered data: 5, 13, 17, 20, 23, 26, 27, 29.
Calculate the (population) standard deviation of 1, 3, 5, 7, 9, correct to two decimal places.
Calculate the median of: 4, 5, 6, 17, 33, 25.
Calculate the median of: 5, 13, 36, 17, 20, 32.
Calculate the interquartile range of the ordered data: 2, 3, 4, 11, 20, 21, 23, 29.

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